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Temperature dependence of the dynamic structure factor of the electron liquid via analytic continuation

Chuna, Thomas; Boehme, Maximilian; Dornheim, Tobias


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  <dc:creator>Chuna, Thomas</dc:creator>
  <dc:creator>Boehme, Maximilian</dc:creator>
  <dc:creator>Dornheim, Tobias</dc:creator>
  <dc:date>2026-03-28</dc:date>
  <dc:description>All results have been computed for the unpolarized UEG, i.e., with an equal number of spin-up and spin-down electrons $N^\uparrow=N^\downarrow=N/2$ for $N=34$. For $r_s = 20$ and at $\Theta=0.75$, there are 1000 independent MCMC seeds, at $\Theta=1, \, 2$ there are $280$ seeds, at $\Theta=4, \,8$ there are $277$ seeds. To compute the data, we conduct leave-one-out binning across the seeds and for all the data, the variance of the mean is $\delta F \approx 10^{-3}-10^{-4}$. This error estimate is computed for each leave-one-out-bin via Hatano's error formula~\cite{hatano1994data} and verified using leave-one-out binning~\cite{berg_book_2004}. This is the online repository with the PIMC results for $F(\mathbf{q},\tau)$ and analytic continuation results for $S(q,\omega)$  seen "Temperature dependence of the dynamic structure factor of the electron liquid via analytic continuation" article. 

The data contained here is (1) leave-one-binned imaginary time correlation functions F(tau) (units dimensionless) over tau (units 1/Hartree) and there error (2) the dynamic structure factors (units 1/Hartree) over omega (units Hartree) obtained using Bryan's MEM with the static approximation as the Bayesian prior (3) the dynamic structure factors (units 1/Hartree) over omega (units Hartree) obtained using  PyLIT with the static approximation as the Bayesian prior (4) The omega-&gt;0 limit of the ideal gas susceptibility chi(q,0)/n/beta (units dimensionless) over q (units 1/Bohr).</dc:description>
  <dc:identifier>https://rodare.hzdr.de/record/4580</dc:identifier>
  <dc:identifier>10.14278/rodare.4580</dc:identifier>
  <dc:identifier>oai:rodare.hzdr.de:4580</dc:identifier>
  <dc:relation>url:https://www.hzdr.de/publications/Publ-43193</dc:relation>
  <dc:relation>doi:10.14278/rodare.4579</dc:relation>
  <dc:relation>url:https://rodare.hzdr.de/communities/rodare</dc:relation>
  <dc:rights>info:eu-repo/semantics/openAccess</dc:rights>
  <dc:rights>https://creativecommons.org/licenses/by/4.0/legalcode</dc:rights>
  <dc:subject>analytic conitnuation</dc:subject>
  <dc:subject>dynamic structure factor</dc:subject>
  <dc:subject>uniform electron gas</dc:subject>
  <dc:title>Temperature dependence of the dynamic structure factor of the electron liquid via analytic continuation</dc:title>
  <dc:type>info:eu-repo/semantics/other</dc:type>
  <dc:type>dataset</dc:type>
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